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DETERMINATION OF ELASTIC CONSTANTS OF ORTHOTROPIC PLATES BY A MODAL ANALYSIS/RAYLEIGH-RITZ TECHNIQUE

机译:模态分析/瑞利丽泽技术测定正交板的弹性常数

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The first part of this paper describes a computer program which uses equations derived by the Rayleigh-Ritz technique to model the vibrations of rectangular orthotropic plates. The characteristic functions of vibrating beams were used as the assumed functions for plates with boundary conditions consisting of clamped and free edges. Resonant frequencies and mode shapes from the program were verified by finite element analysis and modal analysis for square aluminum and graphite/epoxy plates. The plate vibration model was then incorporated into a second computer program which was designed to use the measured resonant frequencies of orthotropic plates to determine the four apparent elastic constants. Resonant frequencies measured by an impulse technique were used to determine two Young's moduli, the in-plane shear modulus, and a Poisson's ratio for each plate.
机译:本文的第一部分介绍了一种计算机程序,该计算机程序使用瑞利RITZ技术导出的方程来模拟矩形正交板的振动。振动梁的特征函数用作具有由夹紧和自由边缘构成的边界条件的板的假定功能。通过有限元分析和正方形铝和石墨/环氧树脂板的有限元分析和模态分析来验证程序中的谐振频率和模式形状。然后将板振动模型结合到第二计算机程序中,该第二计算机程序被设计用于使用正交板的测量谐振频率以确定四个表观弹性常数。通过脉冲技术测量的共振频率用于确定两个杨氏模数,面内剪切模量和每个板的泊松比。

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